Surface Area and Lateral Area of Triangular Prisms

The video tutorial explains how to calculate the surface area of a triangular prism. It begins by defining the surface area components: lateral area and base areas. The lateral area is calculated by finding the perimeter of the base and multiplying it by the height of the prism. The base areas are determined using the formula for the area of a triangle. Finally, the total surface area is obtained by adding the lateral area and the areas of the two bases.

What is the first step in finding the surface area of a triangular prism?

• Find the lateral area

• Calculate the volume

• Measure the angles

• Determine the height

What does the lateral area of a prism consist of?

• The height of the prism

• The sides that go around the prism

• The volume of the prism

• The top and bottom bases

Which theorem is used to find the missing side of the triangular base?

• Pythagorean theorem

• Area theorem

• Volume theorem

• Perimeter theorem

What is the perimeter of the triangular base if the sides are 6, 8, and 10?

• 26

• 24

• 28

• 20

How do you calculate the area of a triangular base?

• Base times height

• Base plus height

• Base divided by height

• Base times height divided by 2

If one base of the triangular prism has an area of 24, what is the total area of both bases?

• 96

• 24

• 48

• 72

What is the final step in calculating the surface area of a triangular prism?

• Subtract the base areas from the lateral area

• Add the lateral area and the base areas

• Divide the lateral area by the base areas

• Multiply the lateral area by the base areas

What is the total surface area of the prism if the lateral area is 288 and the base areas total 48?

• 336

• 288

• 240

• 384

Which of the following is NOT needed to calculate the surface area of a triangular prism?

• Perimeter of the base

• Area of the base

• Volume of the prism

• Height of the prism

What is the unit of measurement for surface area?

• No units

• Cubic units

• Square units

• Linear units